Search a number
-
+
10040341342429 is a prime number
BaseRepresentation
bin1001001000011011001011…
…1110101010100011011101
31022112211212122120210010001
42102012302332222203131
52304000104340424204
633204245200014301
72054251006163446
oct222066276524335
938484778523101
1010040341342429
1132210a2a33742
121161a76001391
1357aa52b52448
14269d52b922cd
1512628b8a34a4
hex921b2faa8dd

10040341342429 has 2 divisors, whose sum is σ = 10040341342430. Its totient is φ = 10040341342428.

The previous prime is 10040341342387. The next prime is 10040341342439. The reversal of 10040341342429 is 92424314304001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9292730366404 + 747610976025 = 3048398^2 + 864645^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10040341342429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10040341342439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020170671214 + 5020170671215.

It is an arithmetic number, because the mean of its divisors is an integer number (5020170671215).

Almost surely, 210040341342429 is an apocalyptic number.

It is an amenable number.

10040341342429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10040341342429 is an equidigital number, since it uses as much as digits as its factorization.

10040341342429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 10040341342429 in words is "ten trillion, forty billion, three hundred forty-one million, three hundred forty-two thousand, four hundred twenty-nine".